5161358664 has 256 divisors, whose sum is σ = 18816768000. Its totient is φ = 1269976320.

The previous prime is 5161358603. The next prime is 5161358669. The reversal of 5161358664 is 4668531615.

5161358664 is a `hidden beast` number, since 5 + 1 + 6 + 1 + 3 + 586 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (5161358669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307842 + ... + 324174.

It is an arithmetic number, because the mean of its divisors is an integer number (73503000).

Almost surely, 2^5161358664 is an apocalyptic number.

5161358664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5161358664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9408384000).

5161358664 is an abundant number, since it is smaller than the sum of its proper divisors (13655409336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5161358664 is a wasteful number, since it uses less digits than its factorization.

5161358664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16385 (or 16375 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 5161358664 is about 71842.5964452845. The cubic root of 5161358664 is about 1728.1761732033.

The spelling of 5161358664 in words is "five billion, one hundred sixty-one million, three hundred fifty-eight thousand, six hundred sixty-four".